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Finding the Fourth Proportional to 2,548.03, 3,822.04 and 904.57

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Solution

The fourth proportional to 2,548.03, 3,822.04 and 904.57 is: 1,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.03 : 3,822.04 = 904.57 : x
  2. Step 2: Convert to fraction form
    2,548.03/3,822.04 = 904.57/x
  3. Step 3: Cross multiply
    2,548.03x = 3,822.04 × 904.57
  4. Step 4: Simplify right side
    2,548.03x = 3,457,310.21
  5. Step 5: Solve for x
    x = 3,457,310.21/2,548.03
  6. Step 6: Final answer
    x = 1,356.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.